6x-5-(4x-1)/2x

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Solution for 6x-5-(4x-1)/2x equation: 


x in (-oo:+oo)

6*x-(x*((4*x-1)/2))-5 = 0

(-1*x*(4*x-1))/2+6*x-5 = 0

(-1*x*(4*x-1))/2+(2*6*x)/2+(-5*2)/2 = 0

2*6*x-1*x*(4*x-1)-5*2 = 0

13*x-4*x^2-10 = 0

13*x-4*x^2-10 = 0

13*x-4*x^2-10 = 0

DELTA = 13^2-(-10*(-4)*4)

DELTA = 9

DELTA > 0

x = (9^(1/2)-13)/(-4*2) or x = (-9^(1/2)-13)/(-4*2)

x = 5/4 or x = 2

(x-5/4)*(x-2) = 0

((x-5/4)*(x-2))/2 = 0

((x-5/4)*(x-2))/2 = 0 // * 2

(x-5/4)*(x-2) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-5/4 )

x-5/4 = 0 // + 5/4

x = 5/4

x in { 2, 5/4 }

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